Since the Father, the Son, and the Holy Spirit are one (in absolute unity and harmony within the Godhead), even though they are three, then it follows that the Father draws those whom the Son and the Holy Spirit draw. Which means that they draw ALL SINNERS to the Savior through the Gospel.
Does Christ draw all men to Himself? Absolutely.
And I, if I be lifted up from the earth, will draw all [men] unto me. (John 12:32)
Even though “men” is in italics which means it has been inserted by the translators (and means “people”), “all” means ALL. If all human beings are sinners, and Christ died for the sins of the whole world, then all people need the Savior to save them.
Does the Holy Spirit draw all men to Christ? Absolutely.
Nevertheless I tell you the truth; It is expedient for you that I go away: for if I go not away, the Comforter will not come unto you; but if I depart, I will send him unto you. And when he is come, he will reprove the world of sin, and of righteousness, and of judgment: Of sin, because they believe not on me; Of righteousness, because I go to my Father, and ye see me no more; Of judgment, because the prince of this world is judged. (John 16:7-11)
“The world” means the whole world of humanity – the inhabitants of the earth. And one of the ministries of the Holy Spirit is to convict and convince ("reprove") sinners when the Gospel is preached. Convict them about their sinful condition and convince them that the Lord Jesus Christ is the one and only Savior of the world, and they must come to Him to be saved. Hence we have these words: And the Spirit and the bride say, Come. And let him that heareth say, Come. And let him that is athirst come. And whosoever will, let him take the water of life freely. (Rev 22:17)